But you are really asking about the rational roots test, I think, which is a small expansion of the factor theorem.

You have to consider that some factors might be of the form , where 'k' refers to any of the factors of , by testing , as you would with the factor theorem. You should find that there are indeed more factors to this polynomial.

But you are really asking about the rational roots test, I think, which is a small expansion of the factor theorem.

You have to consider that some factors might be of the form , where 'k' refers to any of the factors of , by testing , as you would with the factor theorem. You should find that there are indeed more factors to this polynomial.

I know that there are more factors, however, the zeros are x = -2.89681, x = 0.23013, and x = 1.

The -2.89 and 0.23 zeros cannot come from any test points that one can find. Therefore, one must use graphing technology, correct?

EDIT: Nevermind, I forgot that there was a (x-1)^2 on this function. I feel like a mathematical fool.